Least Common Multiple of 381/966, 4626/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 381/966, 4626/773 quickly i.e. 587502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/966, 4626/773 is 587502.

LCM(381/966, 4626/773) = 587502

LCM of 381/966, 4626/773

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 381/966,4626/773

Given numbers are 381/966,4626/773

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 381,4626

Least Common Multiple of Numerators i.e. LCM of 381,4626 is 587502.

GCF of Denominators means GCF of 966,773 as per the given fractions.

GCF of 966,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,4626

LCM of Fractions 381/966,4626/773 is 587502

3 381, 4626
127, 1542

∴ So the LCM of the given numbers is 3 x 127 x 1542 = 587502

Least Common Multiple of 381,4626 with GCF Formula

Least Common Multiple of 381,4626 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 381,4626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,4626) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(381,4626) x common factors =3 x 1 = 3

LCM(381,4626) = ( 381 × 4626 ) / 3

LCM(381,4626) = 1762506 / 3

LCM(381,4626) = 587502


Lets's calculate GCF of 966,773

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 587502/1

Therefore the LCM of Fractions 381/966,4626/773 is 587502

Greatest Common Factor of 966,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,773 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 966,773 . The biggest common factor number is the GCF number.
So the greatest common factor 966,773 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 381/966, 4626/773

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 381/966, 4626/773?

Answer: LCM of Numerators as per given numbers 381/966, 4626/773 is

LCM of Numerators i.e. for 381,4626 is 587502

GCF of denominators i.e. for 966,773 is 1.

Thus, LCM of Fractions is 587502.Finally, LCM of Fractions for 381/966, 4626/773 is 587502.